Answer
points P , Q , and R lie in the same plane A
Step-by-step explanation:
This tells you that all 3 points are in the same plane, that plane again is A
The answer to your question is p=-4
Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,

To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:

*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
Given data:
The first equation is 3j +14=-5z.
The second equation is -10j=5z .
Add both the equations.

Substitute 2 for j in the first equation.

Thus, the value of j is 2 and z is -4.